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UID:718@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20160610T130000
DTEND;TZID=Europe/Berlin:20160611T140000
DTSTAMP:20160428T114130Z
URL:https://qft.physik.hu-berlin.de/next-seminars/harald-dornhu-berlin/
SUMMARY:Harald Dorn(HU Berlin) - Holographic entanglement entropy for hollo
 w cones and banana shaped  regions
DESCRIPTION:After some introductory comments on entanglement entropy\, we c
 onsider banana shaped regions as examples of compact regions\, whose bound
 ary has two conical singularities. Their regularised holographic entropy i
 s calculated with all divergent as well as finite terms. The coefficient o
 f the squared logarithmic divergence\, also in such a case with internally
  curved boundary\, agrees with that calculated in the literature for infin
 ite circular cones with their internally flat boundary. For the otherwise 
 conformally invariant coefficient of the ordinary logarithmic divergence a
 n anomaly under exceptional conformal transformations is observed. The con
 struction of minimal submanifolds\, needed for the entanglement entropy of
  cones\, requires fine-tuning of Cauchy data. Perturbations of such fine-t
 uning leads to solutions relevant for hollow cones. The divergent parts fo
 r the entanglement entropy of hollow cones are calculated. Increasing the 
 difference between the opening angles of their outer and inner boundary\, 
 one finds a transition between connected solutions for small differences t
 o disconnected solutions for larger ones.\n\n&nbsp\;
CATEGORIES:Research Seminars
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DTSTART:20160327T030000
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